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Simplifying 4z + 1 = 2z + 7 Reorder the terms: 1 + 4z = 2z + 7 Reorder the terms: 1 + 4z = 7 + 2z Solving 1 + 4z = 7 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 1 + 4z + -2z = 7 + 2z + -2z Combine like terms: 4z + -2z = 2z 1 + 2z = 7 + 2z + -2z Combine like terms: 2z + -2z = 0 1 + 2z = 7 + 0 1 + 2z = 7 Add '-1' to each side of the equation. 1 + -1 + 2z = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 2z = 7 + -1 2z = 7 + -1 Combine like terms: 7 + -1 = 6 2z = 6 Divide each side by '2'. z = 3 Simplifying z = 3
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